# How do you find the equation for the circle tangent of y-axis, center (-8,-7)?

Feb 11, 2017

${\left(x + 8\right)}^{2} + {\left(y + 7\right)}^{2} = 64$

graph{(x+8)^2 + (y+7)^2=64 [-23.94, 10.24, -15.44, 1.65]}

#### Explanation:

The standard form of an equation is : ${\left(x - h\right)}^{2} + {\left(y - k\right)}^{2} = {r}^{2}$
with center: ($h$, $k$) and $r$: radius

If the circle is tangent to the y-axis the circle touches the y-axis. This means the radius is the distance from the center to the y-axis. This distance is always positive. It is $| h |$.